PPT-Lesson 2.2.4 Addition of Rational Numbers with Integers

Fractions and Icebergs Since 1912 when the Titanic sank after striking an iceberg ships and planes from the INTERTATIONAL ICE PATROL have searched the waters of the North Atlantic to report icebergs that have broken off Greenlands Ice Sheet and drifted into shipping . Rational Numbers. The . real number system. consists of rational and irrational numbers.. . Rational numbers. can be expressed in fractional form, , where a (the numerator) and b (the denominator) are both integers and b = 0.. Integers. Integers. : all positive and negative whole numbers and 0. Opposites: . integers that are the same distance from zero on a number line. Comparing Integers. : The greatest number is the one furthest to the right on the number line.. Sets. In mathematics, a . set. is a collection of things. Sets can be studies as a topic all on its own (known as set theory), but we only need to know a few basic ideas. We often use . braces. { } to indicate a set. The word . rational. contains the word . ratio. , which is another word for quotient. A rational number can be written as a ratio of integers.. Example 1 – . Determining Whether Numbers Are Rational or Irrational. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . Dr Frost. Objectives: . Appreciate the difference between a rational and irrational number, and how surds can be manipulating both within brackets and fractions.. Learning Objectives. By the end of this topic, you’ll be able to answer the following types of questions:. Objective. TSW identify the parts of the Real Number System. TSW define rational and irrational numbers. TSW classify numbers as rational or irrational. Real Numbers. Real Numbers are every number.. Therefore, any number that you can find on the number line.. grade Math – Numeration Unit. 7. π. -√36. ¾. 0. 2.12122….. Number Types. Whole . Integers. Rational Numbers. Irrational Numbers. Which is which? . How can you tell them apart?. Whole Numbers. Investigation1: Extending the Number System. Students will demonstrate understanding of the number line and how to use it to compare numbers, add and subtract numbers.. Homework for this section. Due Thursday. Investigation2: Adding and Subtracting Rational Numbers. Students will demonstrate how to combine numbers with the same sign and different signs. Homework. Pg. 44. 1-11 odd. 19-29 odd. 30, 48,54,66. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . Investigation 3: Multiplying and Dividing Rational Numbers. Students will demonstrate how to combine numbers with the same sign and different signs. Homework. Pg. 67. 25,38-41. Warm-up. 3.1 Multiplication Patterns with Integers. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . the positives. Beth Schefelker. Bridget . Schock. Connie Laughlin. Hank . Kepner. Kevin McLeod. October 26, 2012. Sharing of Professional Practice. Turn and Talk. Select one of the problems you did with students: .